From	To	Conversion Factor
kg·m/s	N·s	1 kg·m/s = 1 N·s
kg·m/s	g·cm/s	1 kg·m/s = 1000 g·cm/s
kg·m/s	kN·s	1 kg·m/s = 0.001 kN·s

Also, Check

• Conservation of Momentum
• How to Calculate the Change in Momentum of an Object?
• Unit of Distance

Conclusion

One of the most critical concepts of physics is momentum, in the unit kg·m/s. It is the measure of energy particles or objects have in terms of their mass and velocity. Familiarizing with its unit and conversions opens way to accurate measurements and evaluations on diverse scientific backgrounds.

Examples on Unit of Momentum

Example 1: Calculate the momentum of a 2-kilogram object moving at a velocity of 3 meters per second.

Solution :

In order to calculate the momentum , we use the following formula : p = mv

where, m = mass of the object

v = velocity of the object

p = mv = 2 × 3 = 6 kg·m/s.

p = 6 kg·m/s.

Example 2: Convert 500 gram centimeters per second (g·cm/s) of momentum to kilogram meter per second (kg·m/s).

Solution :

First, convert grams to kilograms by dividing by 1000 (since 1 kg = 1000 g):

500g = 500/1000kg = 0.5kg

Then, convert centimeters to meters by dividing by 100 (since I m = 100 cm):

500 cm/s = 500/100 m/s = 5 m/s

Now, calculate the momentum using the converted values and the formula :p=mv

p = 0.5 kg × 5 m/s = 2.5 kg.m/s

Example 3: Determine the velocity of an object with a momentum of 150 N·s and a mass of 30 kilograms.

Solution :

Given momentum p = 150 N.s and mass is 30 kg, rearrange the formula p = mv to solve for velocity v:

v = p / m;

v = 150 / 30;

v = 5 m/s

Therefore, the velocity of the object is 5 meters per second (m/s).

Example 4: A ball with a mass of 0.2 kilograms is thrown with a velocity of 15 meters per second. Calculate its momentum.

Solution:

Using the formula

p = mv

p = mv, where m = 0.2 kg and v = 15 m/s,

p = 0.2kg × 15m/s = 3kg.m/s

Example 5: Convert 800 newton seconds (N·s) of momentum to kilogram meters per second (kg·m/s).

Solution:

Since 1 N·s = 1 kg·m/s, the momentum remains the same, which is 800 kg·m/s.

Example 6 : A truck with a mass of 1500 kg is moving at a velocity of 25 m/s. What is its momentum?

Solution:

Using the formula

p = mv

p = mv, where m = 1500 kg and v = 25 m/s,

p = 1500kg × 25m/s = 37500kg.m/s = 1500 kg×25 m/s = 37500 kg.m/s.

Example 7: Convert 1000 gram meters per second (g·m/s) of momentum to kilogram meters per second (kg·m/s).

Solution:

Since 1 g = 0.001 kg, the momentum in kg·m/s is 1000g.m/s×0.001=1kg .m/s1000 g.m/s×0.001=1 kg.m/s.

Example 8: An object has a momentum of 24 N·s and a velocity of 6 m/s. Calculate its mass.

Solution:

Using the formula

p = mv

and rearranging to solve for mass (m):

m = p/v = 24N.s/6m/s = 4kg

Practice Questions on Unit of Momentum

Q1: A bicycle with a mass of 10 kg is moving at a velocity of 8 m/s. Calculate its momentum.

Q2: Convert 300 kilogram meters per second (kg·m/s) of momentum to newton seconds (N·s).

Q3: An object has a momentum of 40 kg·m/s and a velocity of 5 m/s. Determine its mass.

Q4: A rocket with a mass of 2000 kg is traveling with a momentum of 12000 kg·m/s. What is its velocity?

Q5: Calculate the momentum of a 0.5-kilogram object moving at a velocity of 20 meters per second.

Frequently Asked Questions on Unit of Momentum

What is the SI unit of momentum?

The basic unit of momentum in SI is kilogram meter per second (kg⋅m/s).

How do I calculate momentum?

Momentum (p) is evaluated using the formula p = mv, which is having m as mass and v as velocity.

Can momentum be transferred between objects?

Yes, momentum is exchanged between objects by collisions and other contact relations.

How does mass affect an object’s momentum?

The more the mass of the object, the more its momentum with a given velocity, as momentum is directly proportional to mass.

Is momentum a vector or scalar quantity?

Momentum is a vector quantity since it has two attributes: magnitude (mass times velocity) and direction (same direction as the velocity.

Can momentum be negative?

Yes, indeed, the momentum can be negative as it is a vector quantity, hence, according to direction it can be negative